V1 TL TR L Assume that a particle bounces normally off a heated surface with a kinetic energy that is in thermal equilibrium with the surface temperature regardless of its approach energy. Show that average force F produced on the left-hand plate by a single molecule of mass m in bouncing back and forth is: k F = (T,T1)/2 You will use following information as guide you in your derivation: (number of collisions 1.00s mvz+mv1 (1) F = | (change in momentum of wall) second round-trip time“ 1.00 s (2) The kinetic definition of temperature: - kT =; mv?
V1 TL TR L Assume that a particle bounces normally off a heated surface with a kinetic energy that is in thermal equilibrium with the surface temperature regardless of its approach energy. Show that average force F produced on the left-hand plate by a single molecule of mass m in bouncing back and forth is: k F = (T,T1)/2 You will use following information as guide you in your derivation: (number of collisions 1.00s mvz+mv1 (1) F = | (change in momentum of wall) second round-trip time“ 1.00 s (2) The kinetic definition of temperature: - kT =; mv?
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Transcribed Image Text:Consider the following figure:
V1
TL
TR
V2
Assume that a particle bounces normally off a heated surface with a kinetic
energy that is in thermal equilibrium with the surface temperature regardless
of its approach energy. Show that average force F produced on the left-hand
plate by a single molecule of mass m in bouncing back and forth is:
k
F = (TRTL)"/2
You will use following information as guide you in your derivation:
(number of collisions
1.00s
mvz+mv1
(1) F =
|(change in momentum of wall)
second
round-trip time
1.00 s
(2) The kinetic definition of temperature: kT = ; mvž
2
2
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